A stone of mass $1 \, kg$ is tied to end of a massless string of length $1 m$ If the breaking tension of the string is $400\, N$, then maximum linear velocity, the stone can have without breaking the string, while rotating in horizontal plane, is :
A microscope is focused on an object at the bottom of a bucket If liquid with refractive index $\frac{5}{3}$ is poured inside the bucket, then microscope have to be raised by $30\, cm$ to focus the object again The height of the liquid in the bucket is :
In Dumas method for the estimation of $N _2$, the sample is heated with copper oxide and the gas evolved is passed over :
When a hydrocarbon A undergoes complete combustion it requires 11 equivalents of oxygen and produces 4 equivalents of water. What is the molecular formula of $A$?
Arrange the following orbitals in decreasing order of energy A. $n=3, l =0, m =0$ B. $n =4, l =0, m =0$ C. $n =3, l =1, m =0$ D. $n =3, l =2, m =1$ The correct option for the order is :
Which of the following compounds are not used as disinfectants? A. ChloroxylenolB. BithionalC. VeronalD. ProntosilE. TerpineolChoose the correct answer from the options given below:
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R)Assertion (A): The first ionization enthalpy of $3d$ series elements is more than that of group 2 metalsReason (R): In $3d$ series of elements successive filling of d-orbitals takes placeIn the light of the above statements, choose the correct answer from the options given below :
Match List I with List II
Choose the correct answer from the options given below:
Evaluate the following statements for their correctness A. The elevation in boiling point temperature of water will be same for $01 \,M \,NaCl$ and $01\, M$ urea B. Azeotropic mixtures boil without change in their compositionC. Osmosis always takes place from hypertonic to hypotonic solution D. The density of $32 \% H _2 SO _4$ solution having molarity $409\, M$ is approximately $126\, g mL ^{-1}$ E. A negatively charged sol is obtained when KI solution is added to silver nitrate solutionChoose the correct answer from the options given below :
Given below are two statements : Statement I : Upon heating a borax bead dipped in cupric sulphate in a luminous flame, the colour of the bead becomes green.Statement II : The green colour observerd is due to the formation of copper(I) metaborate.In the light of the above statements, choose the most appropriate answer from the options given below :
Compound $A , C _5 H _{10} O _5$, given a tetraacetate with $AC _2 O$ and oxidation of $A$ with $Br _2- H _2 O$ gives an acid, $C _5 H _{10} O _6$ Reduction of $A$ with $HI$ gives isopentane The possible structure of $A$ is:
Given below are two statements:Statement I : H2O2 is used in the synthesis of CephalosporinStatement II : H2O2 is used for the restoration of aerobic conditions to sewage wastes.In the light of the above statements, choose the most appropriate answer from the options given below :
Which of the following elements have half-filled f-orbitals in their ground state?(Given : atomic number $Sm =62 ; Eu =63 ; Tb =65 ; Gd =64, Pm =61$ )A. $Sm$B. $Eu$C. $Tb$D. $Gd$E. $Pm$Choose the correct answer from the options given below :
The Lewis acid character of boron tri halides follows the order :
The normal rain water is slightly acidic and its $pH$ value is $56$ because of which one of the following ?
Which one of the following statements is incorrect?
The element playing significant role in neuromuscular function and interneuronal transmission is :
Let $a_1, a_2, a_3, \ldots$ be an AP If $a_7=3$, the product $a_1 a_4$ is minimum and the sum of its first $n$ terms is zero, then $n !-4 a_{n(n+2)}$ is equal to :
Let $H$ be the hyperbola, whose foci are $(1 \pm \sqrt{2}, 0)$ and eccentricity is $\sqrt{2}$. Then the length of its latus rectum is _____
The number of values of $r \in\{p, q, \sim p, \sim q\}$ for which $((p \wedge q) \Rightarrow(r \vee q)) \wedge((p \wedge r) \Rightarrow q)$ is a tautology, is :
If a point $P (\alpha, \beta, \gamma)$ satisfying $(\alpha\,\, \beta\,\, \gamma) \begin{pmatrix} 2 & 10 & 8 \\9 & 3 & 8 \\8 & 4 & 8\end{pmatrix}=(0\,\,0\,\,0) $ lies on the plane $2 x+4 y+3 z=5$, then $6 \alpha+9 \beta+7 \gamma$ is equal to :
Let the plane $P : 8 x+\alpha_1 y+\alpha_2 z+12=0$ be parallel to the line $L : \frac{x+2}{2}=\frac{y-3}{3}=\frac{z+4}{5}$. If the intercept of $P$ on the $y$-axis is 1 , then the distance between $P$ and $L$ is :